Journal article 290 views
High-performance unsymmetric 8-node hexahedral element in modeling nearly-incompressible soft tissues
International Journal of Mechanical Sciences, Volume: 260, Start page: 108647
Swansea University Author:
Chenfeng Li
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DOI (Published version): 10.1016/j.ijmecsci.2023.108647
Abstract
In biomechanics problems, the biological soft tissues are usually treated as anisotropic nearly incompressible hyperelastic materials, but such complicated nonlinear material models often cause challenging problems of severe volumetric locking and instabilities in numerical simulations. In this pape...
Published in: | International Journal of Mechanical Sciences |
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ISSN: | 0020-7403 1879-2162 |
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Elsevier BV
2023
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URI: | https://cronfa.swan.ac.uk/Record/cronfa64064 |
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v2 64064 2023-08-09 High-performance unsymmetric 8-node hexahedral element in modeling nearly-incompressible soft tissues 82fe170d5ae2c840e538a36209e5a3ac 0000-0003-0441-211X Chenfeng Li Chenfeng Li true false 2023-08-09 CIVL In biomechanics problems, the biological soft tissues are usually treated as anisotropic nearly incompressible hyperelastic materials, but such complicated nonlinear material models often cause challenging problems of severe volumetric locking and instabilities in numerical simulations. In this paper, the recent unsymmetric 8-node, 24-DOF hexahedral solid element US-ATFH8 with different test and analytical trial functions (ATFs) is modified for the analysis of the anisotropic nearly-incompressible hyperelastic soft tissues. Unlike the original formulation, the linear analytical general solutions for anisotropic elasticity and the consistent tangent modulus are firstly employed for formulating the trial functions, and are used to construct the incremental displacement fields that result in the incremental deformation gradient. The total deformation gradient is obtained by multiplying the incremental deformation gradient by the deformation gradient, after which the Cauchy stresses can be directly calculated from a total-form constitutive equation relating to the deformation gradient. Numerical tests, including commonly used benchmarks and cardiac examples, demonstrate attractive properties of the proposed finite element formulation in modeling nearly-incompressible anisotropic hyperelastic materials. It is free of various locking and quite insensitive to mesh distortions, and provides high accuracy with faster convergence rates when compared with other existing models. Journal Article International Journal of Mechanical Sciences 260 108647 Elsevier BV 0020-7403 1879-2162 Unsymmetric finite element, Hyperelastic soft tissues, Nearly-incompressible, Finite deformation, Analytical trial functions, Hexahedral element 15 12 2023 2023-12-15 10.1016/j.ijmecsci.2023.108647 http://dx.doi.org/10.1016/j.ijmecsci.2023.108647 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University The financial support from the National Natural Science Foundation of China (11872229) is greatly appreciated. 2023-10-20T16:29:28.9457719 2023-08-09T09:54:21.0325856 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Yu-Fei Wang 1 Song Cen 2 Chenfeng Li 0000-0003-0441-211X 3 Qun Zhang 4 Under embargo Under embargo 2023-08-24T14:59:10.3173060 Output 1801489 application/pdf Accepted Manuscript true 2024-07-26T00:00:00.0000000 Distributed under the terms of a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0). true eng https://creativecommons.org/licenses/by-nc-nd/4.0/ |
title |
High-performance unsymmetric 8-node hexahedral element in modeling nearly-incompressible soft tissues |
spellingShingle |
High-performance unsymmetric 8-node hexahedral element in modeling nearly-incompressible soft tissues Chenfeng Li |
title_short |
High-performance unsymmetric 8-node hexahedral element in modeling nearly-incompressible soft tissues |
title_full |
High-performance unsymmetric 8-node hexahedral element in modeling nearly-incompressible soft tissues |
title_fullStr |
High-performance unsymmetric 8-node hexahedral element in modeling nearly-incompressible soft tissues |
title_full_unstemmed |
High-performance unsymmetric 8-node hexahedral element in modeling nearly-incompressible soft tissues |
title_sort |
High-performance unsymmetric 8-node hexahedral element in modeling nearly-incompressible soft tissues |
author_id_str_mv |
82fe170d5ae2c840e538a36209e5a3ac |
author_id_fullname_str_mv |
82fe170d5ae2c840e538a36209e5a3ac_***_Chenfeng Li |
author |
Chenfeng Li |
author2 |
Yu-Fei Wang Song Cen Chenfeng Li Qun Zhang |
format |
Journal article |
container_title |
International Journal of Mechanical Sciences |
container_volume |
260 |
container_start_page |
108647 |
publishDate |
2023 |
institution |
Swansea University |
issn |
0020-7403 1879-2162 |
doi_str_mv |
10.1016/j.ijmecsci.2023.108647 |
publisher |
Elsevier BV |
college_str |
Faculty of Science and Engineering |
hierarchytype |
|
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering |
url |
http://dx.doi.org/10.1016/j.ijmecsci.2023.108647 |
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description |
In biomechanics problems, the biological soft tissues are usually treated as anisotropic nearly incompressible hyperelastic materials, but such complicated nonlinear material models often cause challenging problems of severe volumetric locking and instabilities in numerical simulations. In this paper, the recent unsymmetric 8-node, 24-DOF hexahedral solid element US-ATFH8 with different test and analytical trial functions (ATFs) is modified for the analysis of the anisotropic nearly-incompressible hyperelastic soft tissues. Unlike the original formulation, the linear analytical general solutions for anisotropic elasticity and the consistent tangent modulus are firstly employed for formulating the trial functions, and are used to construct the incremental displacement fields that result in the incremental deformation gradient. The total deformation gradient is obtained by multiplying the incremental deformation gradient by the deformation gradient, after which the Cauchy stresses can be directly calculated from a total-form constitutive equation relating to the deformation gradient. Numerical tests, including commonly used benchmarks and cardiac examples, demonstrate attractive properties of the proposed finite element formulation in modeling nearly-incompressible anisotropic hyperelastic materials. It is free of various locking and quite insensitive to mesh distortions, and provides high accuracy with faster convergence rates when compared with other existing models. |
published_date |
2023-12-15T16:29:30Z |
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1780288869208424448 |
score |
11.021648 |